For the worst-case complexity measure, if P = NP, then P = OptP, i.e., all NP optimization problems are polynomial-time solvable. On the other hand, it is not clear whether a simi...
An NP search problem is the problems of finding a witness to the given NP predicate, and TFNP is the class of total NP search problems. TFNP contains a number of subclasses conta...
: - This paper introduces the main ideas of the nested partitions (NP) method, analyses its efficiency theoretically and proposes the way to improve the optimization efficiency of ...
We explain the essence of K. Mulmuley and M. Sohoni, "Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems" [MS02] for a general complexity-the...